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Simplifying 116 + -5(3t + -4) = 8(-2t + 11) Reorder the terms: 116 + -5(-4 + 3t) = 8(-2t + 11) 116 + (-4 * -5 + 3t * -5) = 8(-2t + 11) 116 + (20 + -15t) = 8(-2t + 11) Combine like terms: 116 + 20 = 136 136 + -15t = 8(-2t + 11) Reorder the terms: 136 + -15t = 8(11 + -2t) 136 + -15t = (11 * 8 + -2t * 8) 136 + -15t = (88 + -16t) Solving 136 + -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. 136 + -15t + 16t = 88 + -16t + 16t Combine like terms: -15t + 16t = 1t 136 + 1t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 136 + 1t = 88 + 0 136 + 1t = 88 Add '-136' to each side of the equation. 136 + -136 + 1t = 88 + -136 Combine like terms: 136 + -136 = 0 0 + 1t = 88 + -136 1t = 88 + -136 Combine like terms: 88 + -136 = -48 1t = -48 Divide each side by '1'. t = -48 Simplifying t = -48
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