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Simplifying 10(t + -5) + 8 = 6(3t + 3) + -11 Reorder the terms: 10(-5 + t) + 8 = 6(3t + 3) + -11 (-5 * 10 + t * 10) + 8 = 6(3t + 3) + -11 (-50 + 10t) + 8 = 6(3t + 3) + -11 Reorder the terms: -50 + 8 + 10t = 6(3t + 3) + -11 Combine like terms: -50 + 8 = -42 -42 + 10t = 6(3t + 3) + -11 Reorder the terms: -42 + 10t = 6(3 + 3t) + -11 -42 + 10t = (3 * 6 + 3t * 6) + -11 -42 + 10t = (18 + 18t) + -11 Reorder the terms: -42 + 10t = 18 + -11 + 18t Combine like terms: 18 + -11 = 7 -42 + 10t = 7 + 18t Solving -42 + 10t = 7 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -42 + 10t + -18t = 7 + 18t + -18t Combine like terms: 10t + -18t = -8t -42 + -8t = 7 + 18t + -18t Combine like terms: 18t + -18t = 0 -42 + -8t = 7 + 0 -42 + -8t = 7 Add '42' to each side of the equation. -42 + 42 + -8t = 7 + 42 Combine like terms: -42 + 42 = 0 0 + -8t = 7 + 42 -8t = 7 + 42 Combine like terms: 7 + 42 = 49 -8t = 49 Divide each side by '-8'. t = -6.125 Simplifying t = -6.125
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