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Simplifying -4(t + 1) + -1t + -8 = -5(t + 5) + 13 Reorder the terms: -4(1 + t) + -1t + -8 = -5(t + 5) + 13 (1 * -4 + t * -4) + -1t + -8 = -5(t + 5) + 13 (-4 + -4t) + -1t + -8 = -5(t + 5) + 13 Reorder the terms: -4 + -8 + -4t + -1t = -5(t + 5) + 13 Combine like terms: -4 + -8 = -12 -12 + -4t + -1t = -5(t + 5) + 13 Combine like terms: -4t + -1t = -5t -12 + -5t = -5(t + 5) + 13 Reorder the terms: -12 + -5t = -5(5 + t) + 13 -12 + -5t = (5 * -5 + t * -5) + 13 -12 + -5t = (-25 + -5t) + 13 Reorder the terms: -12 + -5t = -25 + 13 + -5t Combine like terms: -25 + 13 = -12 -12 + -5t = -12 + -5t Add '12' to each side of the equation. -12 + 12 + -5t = -12 + 12 + -5t Combine like terms: -12 + 12 = 0 0 + -5t = -12 + 12 + -5t -5t = -12 + 12 + -5t Combine like terms: -12 + 12 = 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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