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Simplifying -3(t + -5) + -1(t + 2) = 7 Reorder the terms: -3(-5 + t) + -1(t + 2) = 7 (-5 * -3 + t * -3) + -1(t + 2) = 7 (15 + -3t) + -1(t + 2) = 7 Reorder the terms: 15 + -3t + -1(2 + t) = 7 15 + -3t + (2 * -1 + t * -1) = 7 15 + -3t + (-2 + -1t) = 7 Reorder the terms: 15 + -2 + -3t + -1t = 7 Combine like terms: 15 + -2 = 13 13 + -3t + -1t = 7 Combine like terms: -3t + -1t = -4t 13 + -4t = 7 Solving 13 + -4t = 7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4t = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = 7 + -13 -4t = 7 + -13 Combine like terms: 7 + -13 = -6 -4t = -6 Divide each side by '-4'. t = 1.5 Simplifying t = 1.5
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