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Simplifying -3(2t + -4) + 2t = 6t + -7 Reorder the terms: -3(-4 + 2t) + 2t = 6t + -7 (-4 * -3 + 2t * -3) + 2t = 6t + -7 (12 + -6t) + 2t = 6t + -7 Combine like terms: -6t + 2t = -4t 12 + -4t = 6t + -7 Reorder the terms: 12 + -4t = -7 + 6t Solving 12 + -4t = -7 + 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. 12 + -4t + -6t = -7 + 6t + -6t Combine like terms: -4t + -6t = -10t 12 + -10t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -10t = -7 + 0 12 + -10t = -7 Add '-12' to each side of the equation. 12 + -12 + -10t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -10t = -7 + -12 -10t = -7 + -12 Combine like terms: -7 + -12 = -19 -10t = -19 Divide each side by '-10'. t = 1.9 Simplifying t = 1.9
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