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Simplifying 6(t + -3) = 7t + 14 Reorder the terms: 6(-3 + t) = 7t + 14 (-3 * 6 + t * 6) = 7t + 14 (-18 + 6t) = 7t + 14 Reorder the terms: -18 + 6t = 14 + 7t Solving -18 + 6t = 14 + 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. -18 + 6t + -7t = 14 + 7t + -7t Combine like terms: 6t + -7t = -1t -18 + -1t = 14 + 7t + -7t Combine like terms: 7t + -7t = 0 -18 + -1t = 14 + 0 -18 + -1t = 14 Add '18' to each side of the equation. -18 + 18 + -1t = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -1t = 14 + 18 -1t = 14 + 18 Combine like terms: 14 + 18 = 32 -1t = 32 Divide each side by '-1'. t = -32 Simplifying t = -32
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