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Simplifying -4(t + -5) + 10 = 6(t + -5) + 20 Reorder the terms: -4(-5 + t) + 10 = 6(t + -5) + 20 (-5 * -4 + t * -4) + 10 = 6(t + -5) + 20 (20 + -4t) + 10 = 6(t + -5) + 20 Reorder the terms: 20 + 10 + -4t = 6(t + -5) + 20 Combine like terms: 20 + 10 = 30 30 + -4t = 6(t + -5) + 20 Reorder the terms: 30 + -4t = 6(-5 + t) + 20 30 + -4t = (-5 * 6 + t * 6) + 20 30 + -4t = (-30 + 6t) + 20 Reorder the terms: 30 + -4t = -30 + 20 + 6t Combine like terms: -30 + 20 = -10 30 + -4t = -10 + 6t Solving 30 + -4t = -10 + 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. 30 + -4t + -6t = -10 + 6t + -6t Combine like terms: -4t + -6t = -10t 30 + -10t = -10 + 6t + -6t Combine like terms: 6t + -6t = 0 30 + -10t = -10 + 0 30 + -10t = -10 Add '-30' to each side of the equation. 30 + -30 + -10t = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -10t = -10 + -30 -10t = -10 + -30 Combine like terms: -10 + -30 = -40 -10t = -40 Divide each side by '-10'. t = 4 Simplifying t = 4
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