10(-3-2t)+10-2(6t-3)=0

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Solution for 10(-3-2t)+10-2(6t-3)=0 equation:


Simplifying
10(-3 + -2t) + 10 + -2(6t + -3) = 0
(-3 * 10 + -2t * 10) + 10 + -2(6t + -3) = 0
(-30 + -20t) + 10 + -2(6t + -3) = 0

Reorder the terms:
-30 + -20t + 10 + -2(-3 + 6t) = 0
-30 + -20t + 10 + (-3 * -2 + 6t * -2) = 0
-30 + -20t + 10 + (6 + -12t) = 0

Reorder the terms:
-30 + 10 + 6 + -20t + -12t = 0

Combine like terms: -30 + 10 = -20
-20 + 6 + -20t + -12t = 0

Combine like terms: -20 + 6 = -14
-14 + -20t + -12t = 0

Combine like terms: -20t + -12t = -32t
-14 + -32t = 0

Solving
-14 + -32t = 0

Solving for variable 't'.

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

Add '14' to each side of the equation.
-14 + 14 + -32t = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -32t = 0 + 14
-32t = 0 + 14

Combine like terms: 0 + 14 = 14
-32t = 14

Divide each side by '-32'.
t = -0.4375

Simplifying
t = -0.4375

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