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Simplifying 10 + -1(5t + 4) = 2t + -15 Reorder the terms: 10 + -1(4 + 5t) = 2t + -15 10 + (4 * -1 + 5t * -1) = 2t + -15 10 + (-4 + -5t) = 2t + -15 Combine like terms: 10 + -4 = 6 6 + -5t = 2t + -15 Reorder the terms: 6 + -5t = -15 + 2t Solving 6 + -5t = -15 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 6 + -5t + -2t = -15 + 2t + -2t Combine like terms: -5t + -2t = -7t 6 + -7t = -15 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + -7t = -15 + 0 6 + -7t = -15 Add '-6' to each side of the equation. 6 + -6 + -7t = -15 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = -15 + -6 -7t = -15 + -6 Combine like terms: -15 + -6 = -21 -7t = -21 Divide each side by '-7'. t = 3 Simplifying t = 3
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