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Simplifying -5(t + 4) = 3(t + -4) Reorder the terms: -5(4 + t) = 3(t + -4) (4 * -5 + t * -5) = 3(t + -4) (-20 + -5t) = 3(t + -4) Reorder the terms: -20 + -5t = 3(-4 + t) -20 + -5t = (-4 * 3 + t * 3) -20 + -5t = (-12 + 3t) Solving -20 + -5t = -12 + 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. -20 + -5t + -3t = -12 + 3t + -3t Combine like terms: -5t + -3t = -8t -20 + -8t = -12 + 3t + -3t Combine like terms: 3t + -3t = 0 -20 + -8t = -12 + 0 -20 + -8t = -12 Add '20' to each side of the equation. -20 + 20 + -8t = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -8t = -12 + 20 -8t = -12 + 20 Combine like terms: -12 + 20 = 8 -8t = 8 Divide each side by '-8'. t = -1 Simplifying t = -1
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