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Simplifying 10(2a + -6) + 5 = 8(3a + 7) + -3 Reorder the terms: 10(-6 + 2a) + 5 = 8(3a + 7) + -3 (-6 * 10 + 2a * 10) + 5 = 8(3a + 7) + -3 (-60 + 20a) + 5 = 8(3a + 7) + -3 Reorder the terms: -60 + 5 + 20a = 8(3a + 7) + -3 Combine like terms: -60 + 5 = -55 -55 + 20a = 8(3a + 7) + -3 Reorder the terms: -55 + 20a = 8(7 + 3a) + -3 -55 + 20a = (7 * 8 + 3a * 8) + -3 -55 + 20a = (56 + 24a) + -3 Reorder the terms: -55 + 20a = 56 + -3 + 24a Combine like terms: 56 + -3 = 53 -55 + 20a = 53 + 24a Solving -55 + 20a = 53 + 24a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-24a' to each side of the equation. -55 + 20a + -24a = 53 + 24a + -24a Combine like terms: 20a + -24a = -4a -55 + -4a = 53 + 24a + -24a Combine like terms: 24a + -24a = 0 -55 + -4a = 53 + 0 -55 + -4a = 53 Add '55' to each side of the equation. -55 + 55 + -4a = 53 + 55 Combine like terms: -55 + 55 = 0 0 + -4a = 53 + 55 -4a = 53 + 55 Combine like terms: 53 + 55 = 108 -4a = 108 Divide each side by '-4'. a = -27 Simplifying a = -27
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