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Simplifying 6t + -3 = 5(2t + 18) Reorder the terms: -3 + 6t = 5(2t + 18) Reorder the terms: -3 + 6t = 5(18 + 2t) -3 + 6t = (18 * 5 + 2t * 5) -3 + 6t = (90 + 10t) Solving -3 + 6t = 90 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -3 + 6t + -10t = 90 + 10t + -10t Combine like terms: 6t + -10t = -4t -3 + -4t = 90 + 10t + -10t Combine like terms: 10t + -10t = 0 -3 + -4t = 90 + 0 -3 + -4t = 90 Add '3' to each side of the equation. -3 + 3 + -4t = 90 + 3 Combine like terms: -3 + 3 = 0 0 + -4t = 90 + 3 -4t = 90 + 3 Combine like terms: 90 + 3 = 93 -4t = 93 Divide each side by '-4'. t = -23.25 Simplifying t = -23.25
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