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Simplifying 4(n + -5) + 15n = -4(-10n + 3) + -21n + -8 Reorder the terms: 4(-5 + n) + 15n = -4(-10n + 3) + -21n + -8 (-5 * 4 + n * 4) + 15n = -4(-10n + 3) + -21n + -8 (-20 + 4n) + 15n = -4(-10n + 3) + -21n + -8 Combine like terms: 4n + 15n = 19n -20 + 19n = -4(-10n + 3) + -21n + -8 Reorder the terms: -20 + 19n = -4(3 + -10n) + -21n + -8 -20 + 19n = (3 * -4 + -10n * -4) + -21n + -8 -20 + 19n = (-12 + 40n) + -21n + -8 Reorder the terms: -20 + 19n = -12 + -8 + 40n + -21n Combine like terms: -12 + -8 = -20 -20 + 19n = -20 + 40n + -21n Combine like terms: 40n + -21n = 19n -20 + 19n = -20 + 19n Add '20' to each side of the equation. -20 + 20 + 19n = -20 + 20 + 19n Combine like terms: -20 + 20 = 0 0 + 19n = -20 + 20 + 19n 19n = -20 + 20 + 19n Combine like terms: -20 + 20 = 0 19n = 0 + 19n 19n = 19n Add '-19n' to each side of the equation. 19n + -19n = 19n + -19n Combine like terms: 19n + -19n = 0 0 = 19n + -19n Combine like terms: 19n + -19n = 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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