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Simplifying 3(t + -4) = -2(t + 3) * 14 Reorder the terms: 3(-4 + t) = -2(t + 3) * 14 (-4 * 3 + t * 3) = -2(t + 3) * 14 (-12 + 3t) = -2(t + 3) * 14 Reorder the terms: -12 + 3t = -2(3 + t) * 14 Reorder the terms for easier multiplication: -12 + 3t = -2 * 14(3 + t) Multiply -2 * 14 -12 + 3t = -28(3 + t) -12 + 3t = (3 * -28 + t * -28) -12 + 3t = (-84 + -28t) Solving -12 + 3t = -84 + -28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '28t' to each side of the equation. -12 + 3t + 28t = -84 + -28t + 28t Combine like terms: 3t + 28t = 31t -12 + 31t = -84 + -28t + 28t Combine like terms: -28t + 28t = 0 -12 + 31t = -84 + 0 -12 + 31t = -84 Add '12' to each side of the equation. -12 + 12 + 31t = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 31t = -84 + 12 31t = -84 + 12 Combine like terms: -84 + 12 = -72 31t = -72 Divide each side by '31'. t = -2.322580645 Simplifying t = -2.322580645
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