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Simplifying -5(t + 1) + -1t + -6 = -6(t + 3) + 7 Reorder the terms: -5(1 + t) + -1t + -6 = -6(t + 3) + 7 (1 * -5 + t * -5) + -1t + -6 = -6(t + 3) + 7 (-5 + -5t) + -1t + -6 = -6(t + 3) + 7 Reorder the terms: -5 + -6 + -5t + -1t = -6(t + 3) + 7 Combine like terms: -5 + -6 = -11 -11 + -5t + -1t = -6(t + 3) + 7 Combine like terms: -5t + -1t = -6t -11 + -6t = -6(t + 3) + 7 Reorder the terms: -11 + -6t = -6(3 + t) + 7 -11 + -6t = (3 * -6 + t * -6) + 7 -11 + -6t = (-18 + -6t) + 7 Reorder the terms: -11 + -6t = -18 + 7 + -6t Combine like terms: -18 + 7 = -11 -11 + -6t = -11 + -6t Add '11' to each side of the equation. -11 + 11 + -6t = -11 + 11 + -6t Combine like terms: -11 + 11 = 0 0 + -6t = -11 + 11 + -6t -6t = -11 + 11 + -6t Combine like terms: -11 + 11 = 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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