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Simplifying 6(5 + -4d) + 11 = d + 41 + -25d (5 * 6 + -4d * 6) + 11 = d + 41 + -25d (30 + -24d) + 11 = d + 41 + -25d Reorder the terms: 30 + 11 + -24d = d + 41 + -25d Combine like terms: 30 + 11 = 41 41 + -24d = d + 41 + -25d Reorder the terms: 41 + -24d = 41 + d + -25d Combine like terms: d + -25d = -24d 41 + -24d = 41 + -24d Add '-41' to each side of the equation. 41 + -41 + -24d = 41 + -41 + -24d Combine like terms: 41 + -41 = 0 0 + -24d = 41 + -41 + -24d -24d = 41 + -41 + -24d Combine like terms: 41 + -41 = 0 -24d = 0 + -24d -24d = -24d Add '24d' to each side of the equation. -24d + 24d = -24d + 24d Combine like terms: -24d + 24d = 0 0 = -24d + 24d Combine like terms: -24d + 24d = 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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