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Simplifying -3t + -2 = -5 + 3(t + 9) Reorder the terms: -2 + -3t = -5 + 3(t + 9) Reorder the terms: -2 + -3t = -5 + 3(9 + t) -2 + -3t = -5 + (9 * 3 + t * 3) -2 + -3t = -5 + (27 + 3t) Combine like terms: -5 + 27 = 22 -2 + -3t = 22 + 3t Solving -2 + -3t = 22 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -2 + -3t + -3t = 22 + 3t + -3t Combine like terms: -3t + -3t = -6t -2 + -6t = 22 + 3t + -3t Combine like terms: 3t + -3t = 0 -2 + -6t = 22 + 0 -2 + -6t = 22 Add '2' to each side of the equation. -2 + 2 + -6t = 22 + 2 Combine like terms: -2 + 2 = 0 0 + -6t = 22 + 2 -6t = 22 + 2 Combine like terms: 22 + 2 = 24 -6t = 24 Divide each side by '-6'. t = -4 Simplifying t = -4
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