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Simplifying t + 7 = 3(t + -19) Reorder the terms: 7 + t = 3(t + -19) Reorder the terms: 7 + t = 3(-19 + t) 7 + t = (-19 * 3 + t * 3) 7 + t = (-57 + 3t) Solving 7 + t = -57 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 7 + t + -3t = -57 + 3t + -3t Combine like terms: t + -3t = -2t 7 + -2t = -57 + 3t + -3t Combine like terms: 3t + -3t = 0 7 + -2t = -57 + 0 7 + -2t = -57 Add '-7' to each side of the equation. 7 + -7 + -2t = -57 + -7 Combine like terms: 7 + -7 = 0 0 + -2t = -57 + -7 -2t = -57 + -7 Combine like terms: -57 + -7 = -64 -2t = -64 Divide each side by '-2'. t = 32 Simplifying t = 32
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