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Simplifying -4(t + 3) + -1t + -6 = -5(t + 5) + 7 Reorder the terms: -4(3 + t) + -1t + -6 = -5(t + 5) + 7 (3 * -4 + t * -4) + -1t + -6 = -5(t + 5) + 7 (-12 + -4t) + -1t + -6 = -5(t + 5) + 7 Reorder the terms: -12 + -6 + -4t + -1t = -5(t + 5) + 7 Combine like terms: -12 + -6 = -18 -18 + -4t + -1t = -5(t + 5) + 7 Combine like terms: -4t + -1t = -5t -18 + -5t = -5(t + 5) + 7 Reorder the terms: -18 + -5t = -5(5 + t) + 7 -18 + -5t = (5 * -5 + t * -5) + 7 -18 + -5t = (-25 + -5t) + 7 Reorder the terms: -18 + -5t = -25 + 7 + -5t Combine like terms: -25 + 7 = -18 -18 + -5t = -18 + -5t Add '18' to each side of the equation. -18 + 18 + -5t = -18 + 18 + -5t Combine like terms: -18 + 18 = 0 0 + -5t = -18 + 18 + -5t -5t = -18 + 18 + -5t Combine like terms: -18 + 18 = 0 -5t = 0 + -5t -5t = -5t Add '5t' to each side of the equation. -5t + 5t = -5t + 5t Combine like terms: -5t + 5t = 0 0 = -5t + 5t Combine like terms: -5t + 5t = 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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