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Simplifying -6(t + 1) + -1t + -9 = -7(t + 3) + 6 Reorder the terms: -6(1 + t) + -1t + -9 = -7(t + 3) + 6 (1 * -6 + t * -6) + -1t + -9 = -7(t + 3) + 6 (-6 + -6t) + -1t + -9 = -7(t + 3) + 6 Reorder the terms: -6 + -9 + -6t + -1t = -7(t + 3) + 6 Combine like terms: -6 + -9 = -15 -15 + -6t + -1t = -7(t + 3) + 6 Combine like terms: -6t + -1t = -7t -15 + -7t = -7(t + 3) + 6 Reorder the terms: -15 + -7t = -7(3 + t) + 6 -15 + -7t = (3 * -7 + t * -7) + 6 -15 + -7t = (-21 + -7t) + 6 Reorder the terms: -15 + -7t = -21 + 6 + -7t Combine like terms: -21 + 6 = -15 -15 + -7t = -15 + -7t Add '15' to each side of the equation. -15 + 15 + -7t = -15 + 15 + -7t Combine like terms: -15 + 15 = 0 0 + -7t = -15 + 15 + -7t -7t = -15 + 15 + -7t Combine like terms: -15 + 15 = 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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