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Simplifying 0.6t + -0.5(56 + -4t) = 88 + 0.6t 0.6t + (56 * -0.5 + -4t * -0.5) = 88 + 0.6t 0.6t + (-28 + 2t) = 88 + 0.6t Reorder the terms: -28 + 0.6t + 2t = 88 + 0.6t Combine like terms: 0.6t + 2t = 2.6t -28 + 2.6t = 88 + 0.6t Solving -28 + 2.6t = 88 + 0.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.6t' to each side of the equation. -28 + 2.6t + -0.6t = 88 + 0.6t + -0.6t Combine like terms: 2.6t + -0.6t = 2t -28 + 2t = 88 + 0.6t + -0.6t Combine like terms: 0.6t + -0.6t = 0.0 -28 + 2t = 88 + 0.0 -28 + 2t = 88 Add '28' to each side of the equation. -28 + 28 + 2t = 88 + 28 Combine like terms: -28 + 28 = 0 0 + 2t = 88 + 28 2t = 88 + 28 Combine like terms: 88 + 28 = 116 2t = 116 Divide each side by '2'. t = 58 Simplifying t = 58
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