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Simplifying -4(t + -3) + 6t = 7t + -7 Reorder the terms: -4(-3 + t) + 6t = 7t + -7 (-3 * -4 + t * -4) + 6t = 7t + -7 (12 + -4t) + 6t = 7t + -7 Combine like terms: -4t + 6t = 2t 12 + 2t = 7t + -7 Reorder the terms: 12 + 2t = -7 + 7t Solving 12 + 2t = -7 + 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. 12 + 2t + -7t = -7 + 7t + -7t Combine like terms: 2t + -7t = -5t 12 + -5t = -7 + 7t + -7t Combine like terms: 7t + -7t = 0 12 + -5t = -7 + 0 12 + -5t = -7 Add '-12' to each side of the equation. 12 + -12 + -5t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -5t = -7 + -12 -5t = -7 + -12 Combine like terms: -7 + -12 = -19 -5t = -19 Divide each side by '-5'. t = 3.8 Simplifying t = 3.8
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