2(t-9)+5(9t-8)=46(t-1)-1

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Solution for 2(t-9)+5(9t-8)=46(t-1)-1 equation: 


Simplifying
2(t + -9) + 5(9t + -8) = 46(t + -1) + -1

Reorder the terms:
2(-9 + t) + 5(9t + -8) = 46(t + -1) + -1
(-9 * 2 + t * 2) + 5(9t + -8) = 46(t + -1) + -1
(-18 + 2t) + 5(9t + -8) = 46(t + -1) + -1

Reorder the terms:
-18 + 2t + 5(-8 + 9t) = 46(t + -1) + -1
-18 + 2t + (-8 * 5 + 9t * 5) = 46(t + -1) + -1
-18 + 2t + (-40 + 45t) = 46(t + -1) + -1

Reorder the terms:
-18 + -40 + 2t + 45t = 46(t + -1) + -1

Combine like terms: -18 + -40 = -58
-58 + 2t + 45t = 46(t + -1) + -1

Combine like terms: 2t + 45t = 47t
-58 + 47t = 46(t + -1) + -1

Reorder the terms:
-58 + 47t = 46(-1 + t) + -1
-58 + 47t = (-1 * 46 + t * 46) + -1
-58 + 47t = (-46 + 46t) + -1

Reorder the terms:
-58 + 47t = -46 + -1 + 46t

Combine like terms: -46 + -1 = -47
-58 + 47t = -47 + 46t

Solving
-58 + 47t = -47 + 46t

Solving for variable 't'.

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

Add '-46t' to each side of the equation.
-58 + 47t + -46t = -47 + 46t + -46t

Combine like terms: 47t + -46t = 1t
-58 + 1t = -47 + 46t + -46t

Combine like terms: 46t + -46t = 0
-58 + 1t = -47 + 0
-58 + 1t = -47

Add '58' to each side of the equation.
-58 + 58 + 1t = -47 + 58

Combine like terms: -58 + 58 = 0
0 + 1t = -47 + 58
1t = -47 + 58

Combine like terms: -47 + 58 = 11
1t = 11

Divide each side by '1'.
t = 11

Simplifying
t = 11

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