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Simplifying 14t + -28 = 7(t + 6) Reorder the terms: -28 + 14t = 7(t + 6) Reorder the terms: -28 + 14t = 7(6 + t) -28 + 14t = (6 * 7 + t * 7) -28 + 14t = (42 + 7t) Solving -28 + 14t = 42 + 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. -28 + 14t + -7t = 42 + 7t + -7t Combine like terms: 14t + -7t = 7t -28 + 7t = 42 + 7t + -7t Combine like terms: 7t + -7t = 0 -28 + 7t = 42 + 0 -28 + 7t = 42 Add '28' to each side of the equation. -28 + 28 + 7t = 42 + 28 Combine like terms: -28 + 28 = 0 0 + 7t = 42 + 28 7t = 42 + 28 Combine like terms: 42 + 28 = 70 7t = 70 Divide each side by '7'. t = 10 Simplifying t = 10
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