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Simplifying -3(t + 2) + -1t + -7 = -4(t + 5) + 7 Reorder the terms: -3(2 + t) + -1t + -7 = -4(t + 5) + 7 (2 * -3 + t * -3) + -1t + -7 = -4(t + 5) + 7 (-6 + -3t) + -1t + -7 = -4(t + 5) + 7 Reorder the terms: -6 + -7 + -3t + -1t = -4(t + 5) + 7 Combine like terms: -6 + -7 = -13 -13 + -3t + -1t = -4(t + 5) + 7 Combine like terms: -3t + -1t = -4t -13 + -4t = -4(t + 5) + 7 Reorder the terms: -13 + -4t = -4(5 + t) + 7 -13 + -4t = (5 * -4 + t * -4) + 7 -13 + -4t = (-20 + -4t) + 7 Reorder the terms: -13 + -4t = -20 + 7 + -4t Combine like terms: -20 + 7 = -13 -13 + -4t = -13 + -4t Add '13' to each side of the equation. -13 + 13 + -4t = -13 + 13 + -4t Combine like terms: -13 + 13 = 0 0 + -4t = -13 + 13 + -4t -4t = -13 + 13 + -4t Combine like terms: -13 + 13 = 0 -4t = 0 + -4t -4t = -4t Add '4t' to each side of the equation. -4t + 4t = -4t + 4t Combine like terms: -4t + 4t = 0 0 = -4t + 4t Combine like terms: -4t + 4t = 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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