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Simplifying 4(t + -3) + 4 = 4(2t + -5) Reorder the terms: 4(-3 + t) + 4 = 4(2t + -5) (-3 * 4 + t * 4) + 4 = 4(2t + -5) (-12 + 4t) + 4 = 4(2t + -5) Reorder the terms: -12 + 4 + 4t = 4(2t + -5) Combine like terms: -12 + 4 = -8 -8 + 4t = 4(2t + -5) Reorder the terms: -8 + 4t = 4(-5 + 2t) -8 + 4t = (-5 * 4 + 2t * 4) -8 + 4t = (-20 + 8t) Solving -8 + 4t = -20 + 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. -8 + 4t + -8t = -20 + 8t + -8t Combine like terms: 4t + -8t = -4t -8 + -4t = -20 + 8t + -8t Combine like terms: 8t + -8t = 0 -8 + -4t = -20 + 0 -8 + -4t = -20 Add '8' to each side of the equation. -8 + 8 + -4t = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -4t = -20 + 8 -4t = -20 + 8 Combine like terms: -20 + 8 = -12 -4t = -12 Divide each side by '-4'. t = 3 Simplifying t = 3
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