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Simplifying 2(2 + -3) = 6 + (t + 2) Combine like terms: 2 + -3 = -1 2(-1) = 6 + (t + 2) Multiply 2 * -1 -2 = 6 + (t + 2) Reorder the terms: -2 = 6 + (2 + t) Remove parenthesis around (2 + t) -2 = 6 + 2 + t Combine like terms: 6 + 2 = 8 -2 = 8 + t Solving -2 = 8 + 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. -2 + -1t = 8 + t + -1t Combine like terms: t + -1t = 0 -2 + -1t = 8 + 0 -2 + -1t = 8 Add '2' to each side of the equation. -2 + 2 + -1t = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 8 + 2 -1t = 8 + 2 Combine like terms: 8 + 2 = 10 -1t = 10 Divide each side by '-1'. t = -10 Simplifying t = -10
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