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Simplifying -6t + -15 = -3(t + -7) Reorder the terms: -15 + -6t = -3(t + -7) Reorder the terms: -15 + -6t = -3(-7 + t) -15 + -6t = (-7 * -3 + t * -3) -15 + -6t = (21 + -3t) Solving -15 + -6t = 21 + -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. -15 + -6t + 3t = 21 + -3t + 3t Combine like terms: -6t + 3t = -3t -15 + -3t = 21 + -3t + 3t Combine like terms: -3t + 3t = 0 -15 + -3t = 21 + 0 -15 + -3t = 21 Add '15' to each side of the equation. -15 + 15 + -3t = 21 + 15 Combine like terms: -15 + 15 = 0 0 + -3t = 21 + 15 -3t = 21 + 15 Combine like terms: 21 + 15 = 36 -3t = 36 Divide each side by '-3'. t = -12 Simplifying t = -12
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