10(t-28)+6(t+12)=-4(t+10)-4

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Solution for 10(t-28)+6(t+12)=-4(t+10)-4 equation:


Simplifying
10(t + -28) + 6(t + 12) = -4(t + 10) + -4

Reorder the terms:
10(-28 + t) + 6(t + 12) = -4(t + 10) + -4
(-28 * 10 + t * 10) + 6(t + 12) = -4(t + 10) + -4
(-280 + 10t) + 6(t + 12) = -4(t + 10) + -4

Reorder the terms:
-280 + 10t + 6(12 + t) = -4(t + 10) + -4
-280 + 10t + (12 * 6 + t * 6) = -4(t + 10) + -4
-280 + 10t + (72 + 6t) = -4(t + 10) + -4

Reorder the terms:
-280 + 72 + 10t + 6t = -4(t + 10) + -4

Combine like terms: -280 + 72 = -208
-208 + 10t + 6t = -4(t + 10) + -4

Combine like terms: 10t + 6t = 16t
-208 + 16t = -4(t + 10) + -4

Reorder the terms:
-208 + 16t = -4(10 + t) + -4
-208 + 16t = (10 * -4 + t * -4) + -4
-208 + 16t = (-40 + -4t) + -4

Reorder the terms:
-208 + 16t = -40 + -4 + -4t

Combine like terms: -40 + -4 = -44
-208 + 16t = -44 + -4t

Solving
-208 + 16t = -44 + -4t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '4t' to each side of the equation.
-208 + 16t + 4t = -44 + -4t + 4t

Combine like terms: 16t + 4t = 20t
-208 + 20t = -44 + -4t + 4t

Combine like terms: -4t + 4t = 0
-208 + 20t = -44 + 0
-208 + 20t = -44

Add '208' to each side of the equation.
-208 + 208 + 20t = -44 + 208

Combine like terms: -208 + 208 = 0
0 + 20t = -44 + 208
20t = -44 + 208

Combine like terms: -44 + 208 = 164
20t = 164

Divide each side by '20'.
t = 8.2

Simplifying
t = 8.2

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