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Simplifying -3(5t + -4) + 5t = 3t + -6 Reorder the terms: -3(-4 + 5t) + 5t = 3t + -6 (-4 * -3 + 5t * -3) + 5t = 3t + -6 (12 + -15t) + 5t = 3t + -6 Combine like terms: -15t + 5t = -10t 12 + -10t = 3t + -6 Reorder the terms: 12 + -10t = -6 + 3t Solving 12 + -10t = -6 + 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. 12 + -10t + -3t = -6 + 3t + -3t Combine like terms: -10t + -3t = -13t 12 + -13t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + -13t = -6 + 0 12 + -13t = -6 Add '-12' to each side of the equation. 12 + -12 + -13t = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -13t = -6 + -12 -13t = -6 + -12 Combine like terms: -6 + -12 = -18 -13t = -18 Divide each side by '-13'. t = 1.384615385 Simplifying t = 1.384615385
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