8(t-7)-4(t+3)=-30t

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Solution for 8(t-7)-4(t+3)=-30t equation:


Simplifying
8(t + -7) + -4(t + 3) = -30t

Reorder the terms:
8(-7 + t) + -4(t + 3) = -30t
(-7 * 8 + t * 8) + -4(t + 3) = -30t
(-56 + 8t) + -4(t + 3) = -30t

Reorder the terms:
-56 + 8t + -4(3 + t) = -30t
-56 + 8t + (3 * -4 + t * -4) = -30t
-56 + 8t + (-12 + -4t) = -30t

Reorder the terms:
-56 + -12 + 8t + -4t = -30t

Combine like terms: -56 + -12 = -68
-68 + 8t + -4t = -30t

Combine like terms: 8t + -4t = 4t
-68 + 4t = -30t

Solving
-68 + 4t = -30t

Solving for variable 't'.

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

Add '30t' to each side of the equation.
-68 + 4t + 30t = -30t + 30t

Combine like terms: 4t + 30t = 34t
-68 + 34t = -30t + 30t

Combine like terms: -30t + 30t = 0
-68 + 34t = 0

Add '68' to each side of the equation.
-68 + 68 + 34t = 0 + 68

Combine like terms: -68 + 68 = 0
0 + 34t = 0 + 68
34t = 0 + 68

Combine like terms: 0 + 68 = 68
34t = 68

Divide each side by '34'.
t = 2

Simplifying
t = 2

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