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Simplifying -6(t + 2) + -1t + -6 = -7(t + 5) + 17 Reorder the terms: -6(2 + t) + -1t + -6 = -7(t + 5) + 17 (2 * -6 + t * -6) + -1t + -6 = -7(t + 5) + 17 (-12 + -6t) + -1t + -6 = -7(t + 5) + 17 Reorder the terms: -12 + -6 + -6t + -1t = -7(t + 5) + 17 Combine like terms: -12 + -6 = -18 -18 + -6t + -1t = -7(t + 5) + 17 Combine like terms: -6t + -1t = -7t -18 + -7t = -7(t + 5) + 17 Reorder the terms: -18 + -7t = -7(5 + t) + 17 -18 + -7t = (5 * -7 + t * -7) + 17 -18 + -7t = (-35 + -7t) + 17 Reorder the terms: -18 + -7t = -35 + 17 + -7t Combine like terms: -35 + 17 = -18 -18 + -7t = -18 + -7t Add '18' to each side of the equation. -18 + 18 + -7t = -18 + 18 + -7t Combine like terms: -18 + 18 = 0 0 + -7t = -18 + 18 + -7t -7t = -18 + 18 + -7t Combine like terms: -18 + 18 = 0 -7t = 0 + -7t -7t = -7t Add '7t' to each side of the equation. -7t + 7t = -7t + 7t Combine like terms: -7t + 7t = 0 0 = -7t + 7t Combine like terms: -7t + 7t = 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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