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Simplifying -2(3t + -5) + 3t = 8t + -4 Reorder the terms: -2(-5 + 3t) + 3t = 8t + -4 (-5 * -2 + 3t * -2) + 3t = 8t + -4 (10 + -6t) + 3t = 8t + -4 Combine like terms: -6t + 3t = -3t 10 + -3t = 8t + -4 Reorder the terms: 10 + -3t = -4 + 8t Solving 10 + -3t = -4 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 10 + -3t + -8t = -4 + 8t + -8t Combine like terms: -3t + -8t = -11t 10 + -11t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 10 + -11t = -4 + 0 10 + -11t = -4 Add '-10' to each side of the equation. 10 + -10 + -11t = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -11t = -4 + -10 -11t = -4 + -10 Combine like terms: -4 + -10 = -14 -11t = -14 Divide each side by '-11'. t = 1.272727273 Simplifying t = 1.272727273
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