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Simplifying 19(-86a + 52) = -38(-8a + 178) Reorder the terms: 19(52 + -86a) = -38(-8a + 178) (52 * 19 + -86a * 19) = -38(-8a + 178) (988 + -1634a) = -38(-8a + 178) Reorder the terms: 988 + -1634a = -38(178 + -8a) 988 + -1634a = (178 * -38 + -8a * -38) 988 + -1634a = (-6764 + 304a) Solving 988 + -1634a = -6764 + 304a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-304a' to each side of the equation. 988 + -1634a + -304a = -6764 + 304a + -304a Combine like terms: -1634a + -304a = -1938a 988 + -1938a = -6764 + 304a + -304a Combine like terms: 304a + -304a = 0 988 + -1938a = -6764 + 0 988 + -1938a = -6764 Add '-988' to each side of the equation. 988 + -988 + -1938a = -6764 + -988 Combine like terms: 988 + -988 = 0 0 + -1938a = -6764 + -988 -1938a = -6764 + -988 Combine like terms: -6764 + -988 = -7752 -1938a = -7752 Divide each side by '-1938'. a = 4 Simplifying a = 4
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