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Simplifying -5(t + 1) + -1t + -8 = -6(t + 5) + 17 Reorder the terms: -5(1 + t) + -1t + -8 = -6(t + 5) + 17 (1 * -5 + t * -5) + -1t + -8 = -6(t + 5) + 17 (-5 + -5t) + -1t + -8 = -6(t + 5) + 17 Reorder the terms: -5 + -8 + -5t + -1t = -6(t + 5) + 17 Combine like terms: -5 + -8 = -13 -13 + -5t + -1t = -6(t + 5) + 17 Combine like terms: -5t + -1t = -6t -13 + -6t = -6(t + 5) + 17 Reorder the terms: -13 + -6t = -6(5 + t) + 17 -13 + -6t = (5 * -6 + t * -6) + 17 -13 + -6t = (-30 + -6t) + 17 Reorder the terms: -13 + -6t = -30 + 17 + -6t Combine like terms: -30 + 17 = -13 -13 + -6t = -13 + -6t Add '13' to each side of the equation. -13 + 13 + -6t = -13 + 13 + -6t Combine like terms: -13 + 13 = 0 0 + -6t = -13 + 13 + -6t -6t = -13 + 13 + -6t Combine like terms: -13 + 13 = 0 -6t = 0 + -6t -6t = -6t Add '6t' to each side of the equation. -6t + 6t = -6t + 6t Combine like terms: -6t + 6t = 0 0 = -6t + 6t Combine like terms: -6t + 6t = 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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