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Simplifying 16 + -5(3t) + -5(4) = 8(-2t) + 8(11) Remove parenthesis around (3t) 16 + -5 * 3t + -5(4) = 8(-2t) + 8(11) Multiply -5 * 3 16 + -15t + -5(4) = 8(-2t) + 8(11) Multiply -5 * 4 16 + -15t + -20 = 8(-2t) + 8(11) Reorder the terms: 16 + -20 + -15t = 8(-2t) + 8(11) Combine like terms: 16 + -20 = -4 -4 + -15t = 8(-2t) + 8(11) Remove parenthesis around (-2t) -4 + -15t = 8 * -2t + 8(11) Multiply 8 * -2 -4 + -15t = -16t + 8(11) Multiply 8 * 11 -4 + -15t = -16t + 88 Reorder the terms: -4 + -15t = 88 + -16t Solving -4 + -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. -4 + -15t + 16t = 88 + -16t + 16t Combine like terms: -15t + 16t = 1t -4 + 1t = 88 + -16t + 16t Combine like terms: -16t + 16t = 0 -4 + 1t = 88 + 0 -4 + 1t = 88 Add '4' to each side of the equation. -4 + 4 + 1t = 88 + 4 Combine like terms: -4 + 4 = 0 0 + 1t = 88 + 4 1t = 88 + 4 Combine like terms: 88 + 4 = 92 1t = 92 Divide each side by '1'. t = 92 Simplifying t = 92
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