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Simplifying 4(t + -3) + 8 = 4(2t + -6) Reorder the terms: 4(-3 + t) + 8 = 4(2t + -6) (-3 * 4 + t * 4) + 8 = 4(2t + -6) (-12 + 4t) + 8 = 4(2t + -6) Reorder the terms: -12 + 8 + 4t = 4(2t + -6) Combine like terms: -12 + 8 = -4 -4 + 4t = 4(2t + -6) Reorder the terms: -4 + 4t = 4(-6 + 2t) -4 + 4t = (-6 * 4 + 2t * 4) -4 + 4t = (-24 + 8t) Solving -4 + 4t = -24 + 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 = -24 + 8t + -8t Combine like terms: 4t + -8t = -4t -4 + -4t = -24 + 8t + -8t Combine like terms: 8t + -8t = 0 -4 + -4t = -24 + 0 -4 + -4t = -24 Add '4' to each side of the equation. -4 + 4 + -4t = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -4t = -24 + 4 -4t = -24 + 4 Combine like terms: -24 + 4 = -20 -4t = -20 Divide each side by '-4'. t = 5 Simplifying t = 5
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