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Simplifying -2(5t + -4) + 5t = 3t + -7 Reorder the terms: -2(-4 + 5t) + 5t = 3t + -7 (-4 * -2 + 5t * -2) + 5t = 3t + -7 (8 + -10t) + 5t = 3t + -7 Combine like terms: -10t + 5t = -5t 8 + -5t = 3t + -7 Reorder the terms: 8 + -5t = -7 + 3t Solving 8 + -5t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 8 + -5t + -3t = -7 + 3t + -3t Combine like terms: -5t + -3t = -8t 8 + -8t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + -8t = -7 + 0 8 + -8t = -7 Add '-8' to each side of the equation. 8 + -8 + -8t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -8t = -7 + -8 -8t = -7 + -8 Combine like terms: -7 + -8 = -15 -8t = -15 Divide each side by '-8'. t = 1.875 Simplifying t = 1.875
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