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Simplifying -16 + -8t = 7(t + 2) Reorder the terms: -16 + -8t = 7(2 + t) -16 + -8t = (2 * 7 + t * 7) -16 + -8t = (14 + 7t) Solving -16 + -8t = 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. -16 + -8t + -7t = 14 + 7t + -7t Combine like terms: -8t + -7t = -15t -16 + -15t = 14 + 7t + -7t Combine like terms: 7t + -7t = 0 -16 + -15t = 14 + 0 -16 + -15t = 14 Add '16' to each side of the equation. -16 + 16 + -15t = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -15t = 14 + 16 -15t = 14 + 16 Combine like terms: 14 + 16 = 30 -15t = 30 Divide each side by '-15'. t = -2 Simplifying t = -2
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