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Simplifying 3(t + -5) + 7 = 5t + 12 Reorder the terms: 3(-5 + t) + 7 = 5t + 12 (-5 * 3 + t * 3) + 7 = 5t + 12 (-15 + 3t) + 7 = 5t + 12 Reorder the terms: -15 + 7 + 3t = 5t + 12 Combine like terms: -15 + 7 = -8 -8 + 3t = 5t + 12 Reorder the terms: -8 + 3t = 12 + 5t Solving -8 + 3t = 12 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -8 + 3t + -5t = 12 + 5t + -5t Combine like terms: 3t + -5t = -2t -8 + -2t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 -8 + -2t = 12 + 0 -8 + -2t = 12 Add '8' to each side of the equation. -8 + 8 + -2t = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -2t = 12 + 8 -2t = 12 + 8 Combine like terms: 12 + 8 = 20 -2t = 20 Divide each side by '-2'. t = -10 Simplifying t = -10
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