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Simplifying 5(t + -3) + 7 = 6(2t + -15) + -12 Reorder the terms: 5(-3 + t) + 7 = 6(2t + -15) + -12 (-3 * 5 + t * 5) + 7 = 6(2t + -15) + -12 (-15 + 5t) + 7 = 6(2t + -15) + -12 Reorder the terms: -15 + 7 + 5t = 6(2t + -15) + -12 Combine like terms: -15 + 7 = -8 -8 + 5t = 6(2t + -15) + -12 Reorder the terms: -8 + 5t = 6(-15 + 2t) + -12 -8 + 5t = (-15 * 6 + 2t * 6) + -12 -8 + 5t = (-90 + 12t) + -12 Reorder the terms: -8 + 5t = -90 + -12 + 12t Combine like terms: -90 + -12 = -102 -8 + 5t = -102 + 12t Solving -8 + 5t = -102 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -8 + 5t + -12t = -102 + 12t + -12t Combine like terms: 5t + -12t = -7t -8 + -7t = -102 + 12t + -12t Combine like terms: 12t + -12t = 0 -8 + -7t = -102 + 0 -8 + -7t = -102 Add '8' to each side of the equation. -8 + 8 + -7t = -102 + 8 Combine like terms: -8 + 8 = 0 0 + -7t = -102 + 8 -7t = -102 + 8 Combine like terms: -102 + 8 = -94 -7t = -94 Divide each side by '-7'. t = 13.42857143 Simplifying t = 13.42857143
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