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Simplifying 7(2m + 1) = 14m + t Reorder the terms: 7(1 + 2m) = 14m + t (1 * 7 + 2m * 7) = 14m + t (7 + 14m) = 14m + t Add '-14m' to each side of the equation. 7 + 14m + -14m = 14m + -14m + t Combine like terms: 14m + -14m = 0 7 + 0 = 14m + -14m + t 7 = 14m + -14m + t Combine like terms: 14m + -14m = 0 7 = 0 + t 7 = t Solving 7 = t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 7 + -1t = t + -1t Combine like terms: t + -1t = 0 7 + -1t = 0 Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7
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