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Simplifying -5(t + 2) + -1t + -7 = -6(t + 4) + 7 Reorder the terms: -5(2 + t) + -1t + -7 = -6(t + 4) + 7 (2 * -5 + t * -5) + -1t + -7 = -6(t + 4) + 7 (-10 + -5t) + -1t + -7 = -6(t + 4) + 7 Reorder the terms: -10 + -7 + -5t + -1t = -6(t + 4) + 7 Combine like terms: -10 + -7 = -17 -17 + -5t + -1t = -6(t + 4) + 7 Combine like terms: -5t + -1t = -6t -17 + -6t = -6(t + 4) + 7 Reorder the terms: -17 + -6t = -6(4 + t) + 7 -17 + -6t = (4 * -6 + t * -6) + 7 -17 + -6t = (-24 + -6t) + 7 Reorder the terms: -17 + -6t = -24 + 7 + -6t Combine like terms: -24 + 7 = -17 -17 + -6t = -17 + -6t Add '17' to each side of the equation. -17 + 17 + -6t = -17 + 17 + -6t Combine like terms: -17 + 17 = 0 0 + -6t = -17 + 17 + -6t -6t = -17 + 17 + -6t Combine like terms: -17 + 17 = 0 -6t = 0 + -6t -6t = -6t Add '6t' to each side of the equation. -6t + 6t = -6t + 6t Combine like terms: -6t + 6t = 0 0 = -6t + 6t Combine like terms: -6t + 6t = 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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