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Simplifying 5(t + -3) + 3 = 4(2t + 4) + -8 Reorder the terms: 5(-3 + t) + 3 = 4(2t + 4) + -8 (-3 * 5 + t * 5) + 3 = 4(2t + 4) + -8 (-15 + 5t) + 3 = 4(2t + 4) + -8 Reorder the terms: -15 + 3 + 5t = 4(2t + 4) + -8 Combine like terms: -15 + 3 = -12 -12 + 5t = 4(2t + 4) + -8 Reorder the terms: -12 + 5t = 4(4 + 2t) + -8 -12 + 5t = (4 * 4 + 2t * 4) + -8 -12 + 5t = (16 + 8t) + -8 Reorder the terms: -12 + 5t = 16 + -8 + 8t Combine like terms: 16 + -8 = 8 -12 + 5t = 8 + 8t Solving -12 + 5t = 8 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -12 + 5t + -8t = 8 + 8t + -8t Combine like terms: 5t + -8t = -3t -12 + -3t = 8 + 8t + -8t Combine like terms: 8t + -8t = 0 -12 + -3t = 8 + 0 -12 + -3t = 8 Add '12' to each side of the equation. -12 + 12 + -3t = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = 8 + 12 -3t = 8 + 12 Combine like terms: 8 + 12 = 20 -3t = 20 Divide each side by '-3'. t = -6.666666667 Simplifying t = -6.666666667
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