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Simplifying 3(t + -5) + -16 = 12 + -2(t + -3) Reorder the terms: 3(-5 + t) + -16 = 12 + -2(t + -3) (-5 * 3 + t * 3) + -16 = 12 + -2(t + -3) (-15 + 3t) + -16 = 12 + -2(t + -3) Reorder the terms: -15 + -16 + 3t = 12 + -2(t + -3) Combine like terms: -15 + -16 = -31 -31 + 3t = 12 + -2(t + -3) Reorder the terms: -31 + 3t = 12 + -2(-3 + t) -31 + 3t = 12 + (-3 * -2 + t * -2) -31 + 3t = 12 + (6 + -2t) Combine like terms: 12 + 6 = 18 -31 + 3t = 18 + -2t Solving -31 + 3t = 18 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -31 + 3t + 2t = 18 + -2t + 2t Combine like terms: 3t + 2t = 5t -31 + 5t = 18 + -2t + 2t Combine like terms: -2t + 2t = 0 -31 + 5t = 18 + 0 -31 + 5t = 18 Add '31' to each side of the equation. -31 + 31 + 5t = 18 + 31 Combine like terms: -31 + 31 = 0 0 + 5t = 18 + 31 5t = 18 + 31 Combine like terms: 18 + 31 = 49 5t = 49 Divide each side by '5'. t = 9.8 Simplifying t = 9.8
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