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Simplifying 10 + -1(19 + -0.5z) + -1z + (3(19 + -0.5z)) + 2z = 48 10 + (19 * -1 + -0.5z * -1) + -1z + (3(19 + -0.5z)) + 2z = 48 10 + (-19 + 0.5z) + -1z + (3(19 + -0.5z)) + 2z = 48 10 + -19 + 0.5z + -1z + ((19 * 3 + -0.5z * 3)) + 2z = 48 10 + -19 + 0.5z + -1z + ((57 + -1.5z)) + 2z = 48 10 + -19 + 0.5z + -1z + (57 + -1.5z) + 2z = 48 Remove parenthesis around (57 + -1.5z) 10 + -19 + 0.5z + -1z + 57 + -1.5z + 2z = 48 Reorder the terms: 10 + -19 + 57 + 0.5z + -1z + -1.5z + 2z = 48 Combine like terms: 10 + -19 = -9 -9 + 57 + 0.5z + -1z + -1.5z + 2z = 48 Combine like terms: -9 + 57 = 48 48 + 0.5z + -1z + -1.5z + 2z = 48 Combine like terms: 0.5z + -1z = -0.5z 48 + -0.5z + -1.5z + 2z = 48 Combine like terms: -0.5z + -1.5z = -2z 48 + -2z + 2z = 48 Combine like terms: -2z + 2z = 0 48 + 0 = 48 48 = 48 Add '-48' to each side of the equation. 48 + -48 = 48 + -48 Combine like terms: 48 + -48 = 0 0 = 48 + -48 Combine like terms: 48 + -48 = 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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