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Simplifying 6t + -4 = 3(2t + -5) + t Reorder the terms: -4 + 6t = 3(2t + -5) + t Reorder the terms: -4 + 6t = 3(-5 + 2t) + t -4 + 6t = (-5 * 3 + 2t * 3) + t -4 + 6t = (-15 + 6t) + t Combine like terms: 6t + t = 7t -4 + 6t = -15 + 7t Solving -4 + 6t = -15 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -4 + 6t + -7t = -15 + 7t + -7t Combine like terms: 6t + -7t = -1t -4 + -1t = -15 + 7t + -7t Combine like terms: 7t + -7t = 0 -4 + -1t = -15 + 0 -4 + -1t = -15 Add '4' to each side of the equation. -4 + 4 + -1t = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = -15 + 4 -1t = -15 + 4 Combine like terms: -15 + 4 = -11 -1t = -11 Divide each side by '-1'. t = 11 Simplifying t = 11
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