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Simplifying 2(6p + -5) = 27p + -4 + -3(5p + 2) Reorder the terms: 2(-5 + 6p) = 27p + -4 + -3(5p + 2) (-5 * 2 + 6p * 2) = 27p + -4 + -3(5p + 2) (-10 + 12p) = 27p + -4 + -3(5p + 2) Reorder the terms: -10 + 12p = 27p + -4 + -3(2 + 5p) -10 + 12p = 27p + -4 + (2 * -3 + 5p * -3) -10 + 12p = 27p + -4 + (-6 + -15p) Reorder the terms: -10 + 12p = -4 + -6 + 27p + -15p Combine like terms: -4 + -6 = -10 -10 + 12p = -10 + 27p + -15p Combine like terms: 27p + -15p = 12p -10 + 12p = -10 + 12p Add '10' to each side of the equation. -10 + 10 + 12p = -10 + 10 + 12p Combine like terms: -10 + 10 = 0 0 + 12p = -10 + 10 + 12p 12p = -10 + 10 + 12p Combine like terms: -10 + 10 = 0 12p = 0 + 12p 12p = 12p Add '-12p' to each side of the equation. 12p + -12p = 12p + -12p Combine like terms: 12p + -12p = 0 0 = 12p + -12p Combine like terms: 12p + -12p = 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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