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Simplifying -4(t + -4) + 8 = 6t + -6 Reorder the terms: -4(-4 + t) + 8 = 6t + -6 (-4 * -4 + t * -4) + 8 = 6t + -6 (16 + -4t) + 8 = 6t + -6 Reorder the terms: 16 + 8 + -4t = 6t + -6 Combine like terms: 16 + 8 = 24 24 + -4t = 6t + -6 Reorder the terms: 24 + -4t = -6 + 6t Solving 24 + -4t = -6 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 24 + -4t + -6t = -6 + 6t + -6t Combine like terms: -4t + -6t = -10t 24 + -10t = -6 + 6t + -6t Combine like terms: 6t + -6t = 0 24 + -10t = -6 + 0 24 + -10t = -6 Add '-24' to each side of the equation. 24 + -24 + -10t = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -10t = -6 + -24 -10t = -6 + -24 Combine like terms: -6 + -24 = -30 -10t = -30 Divide each side by '-10'. t = 3 Simplifying t = 3
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