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Simplifying -7 + t = 3(t + -5) Reorder the terms: -7 + t = 3(-5 + t) -7 + t = (-5 * 3 + t * 3) -7 + t = (-15 + 3t) Solving -7 + t = -15 + 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 = -15 + 3t + -3t Combine like terms: t + -3t = -2t -7 + -2t = -15 + 3t + -3t Combine like terms: 3t + -3t = 0 -7 + -2t = -15 + 0 -7 + -2t = -15 Add '7' to each side of the equation. -7 + 7 + -2t = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -2t = -15 + 7 -2t = -15 + 7 Combine like terms: -15 + 7 = -8 -2t = -8 Divide each side by '-2'. t = 4 Simplifying t = 4
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