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