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Simplifying 2(3t + -4) = 10t + -7 Reorder the terms: 2(-4 + 3t) = 10t + -7 (-4 * 2 + 3t * 2) = 10t + -7 (-8 + 6t) = 10t + -7 Reorder the terms: -8 + 6t = -7 + 10t Solving -8 + 6t = -7 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. -8 + 6t + -10t = -7 + 10t + -10t Combine like terms: 6t + -10t = -4t -8 + -4t = -7 + 10t + -10t Combine like terms: 10t + -10t = 0 -8 + -4t = -7 + 0 -8 + -4t = -7 Add '8' to each side of the equation. -8 + 8 + -4t = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -4t = -7 + 8 -4t = -7 + 8 Combine like terms: -7 + 8 = 1 -4t = 1 Divide each side by '-4'. t = -0.25 Simplifying t = -0.25
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