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Simplifying -2(5t + -3) + 5t = 3t + -3 Reorder the terms: -2(-3 + 5t) + 5t = 3t + -3 (-3 * -2 + 5t * -2) + 5t = 3t + -3 (6 + -10t) + 5t = 3t + -3 Combine like terms: -10t + 5t = -5t 6 + -5t = 3t + -3 Reorder the terms: 6 + -5t = -3 + 3t Solving 6 + -5t = -3 + 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. 6 + -5t + -3t = -3 + 3t + -3t Combine like terms: -5t + -3t = -8t 6 + -8t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + -8t = -3 + 0 6 + -8t = -3 Add '-6' to each side of the equation. 6 + -6 + -8t = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -8t = -3 + -6 -8t = -3 + -6 Combine like terms: -3 + -6 = -9 -8t = -9 Divide each side by '-8'. t = 1.125 Simplifying t = 1.125
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