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Simplifying -5(t + -3) + 7t = 6t + -3 Reorder the terms: -5(-3 + t) + 7t = 6t + -3 (-3 * -5 + t * -5) + 7t = 6t + -3 (15 + -5t) + 7t = 6t + -3 Combine like terms: -5t + 7t = 2t 15 + 2t = 6t + -3 Reorder the terms: 15 + 2t = -3 + 6t Solving 15 + 2t = -3 + 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. 15 + 2t + -6t = -3 + 6t + -6t Combine like terms: 2t + -6t = -4t 15 + -4t = -3 + 6t + -6t Combine like terms: 6t + -6t = 0 15 + -4t = -3 + 0 15 + -4t = -3 Add '-15' to each side of the equation. 15 + -15 + -4t = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -4t = -3 + -15 -4t = -3 + -15 Combine like terms: -3 + -15 = -18 -4t = -18 Divide each side by '-4'. t = 4.5 Simplifying t = 4.5
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