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Simplifying 4(t + -3) = 2(t + -2) Reorder the terms: 4(-3 + t) = 2(t + -2) (-3 * 4 + t * 4) = 2(t + -2) (-12 + 4t) = 2(t + -2) Reorder the terms: -12 + 4t = 2(-2 + t) -12 + 4t = (-2 * 2 + t * 2) -12 + 4t = (-4 + 2t) Solving -12 + 4t = -4 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -12 + 4t + -2t = -4 + 2t + -2t Combine like terms: 4t + -2t = 2t -12 + 2t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 -12 + 2t = -4 + 0 -12 + 2t = -4 Add '12' to each side of the equation. -12 + 12 + 2t = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 2t = -4 + 12 2t = -4 + 12 Combine like terms: -4 + 12 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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