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Simplifying -7(t + 1) + -1t + -10 = -8(t + 3) + 7 Reorder the terms: -7(1 + t) + -1t + -10 = -8(t + 3) + 7 (1 * -7 + t * -7) + -1t + -10 = -8(t + 3) + 7 (-7 + -7t) + -1t + -10 = -8(t + 3) + 7 Reorder the terms: -7 + -10 + -7t + -1t = -8(t + 3) + 7 Combine like terms: -7 + -10 = -17 -17 + -7t + -1t = -8(t + 3) + 7 Combine like terms: -7t + -1t = -8t -17 + -8t = -8(t + 3) + 7 Reorder the terms: -17 + -8t = -8(3 + t) + 7 -17 + -8t = (3 * -8 + t * -8) + 7 -17 + -8t = (-24 + -8t) + 7 Reorder the terms: -17 + -8t = -24 + 7 + -8t Combine like terms: -24 + 7 = -17 -17 + -8t = -17 + -8t Add '17' to each side of the equation. -17 + 17 + -8t = -17 + 17 + -8t Combine like terms: -17 + 17 = 0 0 + -8t = -17 + 17 + -8t -8t = -17 + 17 + -8t Combine like terms: -17 + 17 = 0 -8t = 0 + -8t -8t = -8t Add '8t' to each side of the equation. -8t + 8t = -8t + 8t Combine like terms: -8t + 8t = 0 0 = -8t + 8t Combine like terms: -8t + 8t = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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