3(t+42)=7(t+126)

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Solution for 3(t+42)=7(t+126) equation:


Simplifying
3(t + 42) = 7(t + 126)

Reorder the terms:
3(42 + t) = 7(t + 126)
(42 * 3 + t * 3) = 7(t + 126)
(126 + 3t) = 7(t + 126)

Reorder the terms:
126 + 3t = 7(126 + t)
126 + 3t = (126 * 7 + t * 7)
126 + 3t = (882 + 7t)

Solving
126 + 3t = 882 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
126 + 3t + -7t = 882 + 7t + -7t

Combine like terms: 3t + -7t = -4t
126 + -4t = 882 + 7t + -7t

Combine like terms: 7t + -7t = 0
126 + -4t = 882 + 0
126 + -4t = 882

Add '-126' to each side of the equation.
126 + -126 + -4t = 882 + -126

Combine like terms: 126 + -126 = 0
0 + -4t = 882 + -126
-4t = 882 + -126

Combine like terms: 882 + -126 = 756
-4t = 756

Divide each side by '-4'.
t = -189

Simplifying
t = -189

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