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Simplifying 16 + -5(3t + 7) = 8(-2t + 11) Reorder the terms: 16 + -5(7 + 3t) = 8(-2t + 11) 16 + (7 * -5 + 3t * -5) = 8(-2t + 11) 16 + (-35 + -15t) = 8(-2t + 11) Combine like terms: 16 + -35 = -19 -19 + -15t = 8(-2t + 11) Reorder the terms: -19 + -15t = 8(11 + -2t) -19 + -15t = (11 * 8 + -2t * 8) -19 + -15t = (88 + -16t) Solving -19 + -15t = 88 + -16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '16t' to each side of the equation. -19 + -15t + 16t = 88 + -16t + 16t Combine like terms: -15t + 16t = 1t -19 + 1t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 -19 + 1t = 88 + 0 -19 + 1t = 88 Add '19' to each side of the equation. -19 + 19 + 1t = 88 + 19 Combine like terms: -19 + 19 = 0 0 + 1t = 88 + 19 1t = 88 + 19 Combine like terms: 88 + 19 = 107 1t = 107 Divide each side by '1'. t = 107 Simplifying t = 107
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