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Simplifying 7 + -1r = 8 + -1r + -1t Add 'r' to each side of the equation. 7 + -1r + r = 8 + -1r + r + -1t Combine like terms: -1r + r = 0 7 + 0 = 8 + -1r + r + -1t 7 = 8 + -1r + r + -1t Combine like terms: -1r + r = 0 7 = 8 + 0 + -1t 7 = 8 + -1t Solving 7 = 8 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 7 + t = 8 + -1t + t Combine like terms: -1t + t = 0 7 + t = 8 + 0 7 + t = 8 Add '-7' to each side of the equation. 7 + -7 + t = 8 + -7 Combine like terms: 7 + -7 = 0 0 + t = 8 + -7 t = 8 + -7 Combine like terms: 8 + -7 = 1 t = 1 Simplifying t = 1
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