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Simplifying (t + -10) * 7 = 2t(6) Reorder the terms: (-10 + t) * 7 = 2t(6) Reorder the terms for easier multiplication: 7(-10 + t) = 2t(6) (-10 * 7 + t * 7) = 2t(6) (-70 + 7t) = 2t(6) Reorder the terms for easier multiplication: -70 + 7t = 2 * 6t Multiply 2 * 6 -70 + 7t = 12t Solving -70 + 7t = 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. -70 + 7t + -12t = 12t + -12t Combine like terms: 7t + -12t = -5t -70 + -5t = 12t + -12t Combine like terms: 12t + -12t = 0 -70 + -5t = 0 Add '70' to each side of the equation. -70 + 70 + -5t = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -5t = 0 + 70 -5t = 0 + 70 Combine like terms: 0 + 70 = 70 -5t = 70 Divide each side by '-5'. t = -14 Simplifying t = -14
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